A cusped hyperbolic 4-manifold without spin structures
We build a non-compact, orientable, hyperbolic four-manifold of finite volume that does not admit any spin structure.
math.GT↗
arXiv subjects
Edoardo Rizzi
Publications and source records attributed to Edoardo Rizzi.
Cusp-transitive 4-manifolds with every cusp section
We realize every closed flat 3-manifold as a cusp section of a complete, finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of cusps. Moreover, for every such 3-manifold, a dense subset of its flat metrics can be realized as cusp sections of a cusp-transitive 4-manifold. Finally, we prove that there are a lot of 4-manifolds with pairwise isometric cusps, for any given cusp type.
math.GT↗
Some cusp-transitive hyperbolic 4-manifolds
We realize 4 of the 6 closed orientable flat 3-manifolds as a cusp section of an orientable finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of cusps.
math.GT↗